How to Find GCF of 9417/662, 5338/9617?

GCF of 9417/662, 5338/9617

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9417/662, 5338/9617 i.e 1/6366454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9417/662, 5338/9617.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9417/662,5338/9617?

Given fractions are 9417/662,5338/9617

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9417/662,5338/9617, numerators are 9417,5338

Denominators are 662,9617

The GCF of 9417,5338 is 1 .

LCM of 662,9617 is 6366454.

The greatest common factor of 9417/662,5338/9617 = [GCF of 9417,5338]/[LCM of 662,9617]= 1/6366454

Therefore, the GCF of 9417/662,5338/9617 is 1/6366454.

Greatest Common Factor of 9417,5338

To find the highest common factor of 9417,5338, we have to find the factors of both numbers and list the highest common factor.

The factors of 9417 are 1, 3, 43, 73, 129, 219, 3139, 9417

The factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338

The HCF of 9417,5338 is 1.

Lets's calculate GCF of 9417,5338

Greatest Common Factor (GCF) of 9417,5338 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9417,5338 By Matching Biggest Common Factor Method

Now, list down the factors of 9417

1,3,43,73,129,219,3139,9417

Now, list down the factors of 5338

1,2,17,34,157,314,2669,5338

Greatest Common Factor

We found the factors 9417,5338 . The biggest common factor number is the GCF number.
So the greatest common factor 9417,5338 is 1.

Lets's calculate LCM of 662,9617

Lowest Common Multiple of 662,9617 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6366454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6366454

Therefore, the GCF of Fractions 9417/662,5338/9617 is 1/6366454

Least Common Multiple of 662,9617 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 662,9617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,9617) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(662,9617) x common factors =1 x 1 = 1

LCM(662,9617) = ( 662 × 9617 ) / 1

LCM(662,9617) = 6366454 / 1

LCM(662,9617) = 6366454

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9417/662, 5338/9617

1. What is the HCF of 9417,5338?

The HCF of 9417,5338 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 9417/662, 5338/9617?

Answer: GCF of Numerators as per given numbers 9417/662, 5338/9617 is

GCF of Numerators i.e. for 9417,5338 is 1

LCM of denominators i.e. for 662,9617 is 6366454.

Thus, GCF of Fractions is 1/6366454.Finally, GCF of Fractions for 9417/662, 5338/9617 is 1/6366454.